package no139;

import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int l = sc.nextInt();
		int[] x = new int[n+2];
		int[] w = new int[n+2];
		int[] t = new int[n+2];
		x[0] = 0;
		w[0] = 0;
		t[0] = 10;
		for(int i=1;i<=n;i++) {
			x[i] = sc.nextInt();
			w[i] = sc.nextInt();
			t[i] = sc.nextInt();
		}
		x[n+1] = l;
		long time = 0;
		for(int i=0;i<=n;i++) {
			long gap = x[i+1] - x[i];
			long ph0 = time % (t[i] * 2);
			long ph1 = (time + w[i]) % (t[i] * 2);
			if (ph0 <= ph1 && ph1 < t[i]) {
				time += gap;
			}else{
				time += t[i] * 2 - ph0 + gap;
			}
		}
		System.out.println(time);
	}

}